### Archives

### Recent blog posts

- A strong form of König’s lemma October 21, 2017
- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014

### Keywords

Martin's Axiom stationary hitting P-Ideal Dichotomy Successor of Singular Cardinal Constructible Universe Fodor-type reflection polarized partition relation incompactness Almost-disjoint famiy sap projective Boolean algebra Ostaszewski square free Boolean algebra Parameterized proxy principle Cardinal Invariants super-Souslin tree Cohen real Stevo Todorcevic Hereditarily Lindelöf space Dushnik-Miller Foundations Club Guessing Universal Sequences middle diamond Reduced Power Nonspecial tree Axiom R very good scale free Souslin tree reflection principles square Singular cardinals combinatorics Distributive tree square principles Uniformization Rock n' Roll Erdos-Hajnal graphs Coherent tree Almost countably chromatic ccc Fat stationary set HOD b-scale S-Space Weakly compact cardinal Aronszajn tree Square-Brackets Partition Relations Poset Slim tree Shelah's Strong Hypothesis Fast club weak diamond coloring number specializable Souslin tree Large Cardinals Diamond Microscopic Approach Whitehead Problem Singular Density Erdos Cardinal 05A17 Prevalent singular cardinals Souslin Tree Hedetniemi's conjecture L-space Knaster diamond star Forcing Axioms Jonsson cardinal xbox Chang's conjecture 11P99 Almost Souslin Non-saturation PFA Uniformly coherent Forcing Absoluteness Postprocessing function Antichain Selective Ultrafilter Singular coﬁnality Minimal Walks Rainbow sets Ascent Path Partition Relations OCA Small forcing Kurepa Hypothesis Successor of Regular Cardinal Prikry-type forcing Mandelbrot set PFA(S)[S] Cardinal function weak square stationary reflection Generalized Clubs Luzin set approachability ideal Commutative cancellative semigroups Rado's conjecture tensor product graph Sakurai's Bell inequality Hindman's Theorem Chromatic number

# Category Archives: Contributed Talks

## Infinite Combinatorics Seminar, Haifa University, June, 2012

I gave a talk at the University of Haifa on June 07, 2012, intended for general audience. Title: Strong Colorings: the study of the failure of generalized Ramsey statements Abstract: A strong coloring from $X$ to $Y$ is a function … Continue reading

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## Singular Cardinal Combinatorics and Inner Model Theory, March 2007

These are the slides of a talk given at the Singular Cardinal Combinatorics and Inner Model Theory conference (Gainesville, 5–9 March 2007). Talk Title: Antichains in partially ordered sets of singular cofinality Abstract: We say that a singular cardinal $\lambda$ is a prevalent singular … Continue reading

## Logic in Hungary, August 2005

These are the slides of a contributed talk given at the Logic in Hungary 2005 meeting (Budapest, 5–11 August 2005). Talk Title: On the consistency strength of the Milner-Sauer Conjecture Abstract: In their paper from 1981, after learning about Pouzet‘s theorem that any … Continue reading

Posted in Contributed Talks
Tagged Antichain, Shelah's Strong Hypothesis, Singular coﬁnality
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